{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7275127897020414\n",
      "0.5798058252427185\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 节点个数： 20-210          默认：60      迭代：20 + cnt * 10\n",
    "# 源目对数： 10-200          默认：50      迭代：10 + cnt * 10\n",
    "# 阿尔法值： 0.35-1.3        默认：0.2     迭代：0.2 + cnt * 0.05\n",
    "# 初始光源： 5-43            默认：5       迭代：5 + cnt * 2\n",
    "\n",
    "data = [[7.75, 14.8125, 3.2291666666666665, 2.7708333333333335],[14.416666666666666, 24.229166666666668, 5.375, 4.083333333333333],[21.666666666666668, 32.145833333333336, 7.375, 5.333333333333333],[28.479166666666668, 39.0, 9.770833333333334, 6.875],[35.1875, 44.5, 12.25, 8.104166666666666],[42.395833333333336, 50.625, 14.541666666666666, 9.625],[50.3125, 55.104166666666664, 16.208333333333332, 10.375],[56.104166666666664, 58.395833333333336, 18.083333333333332, 11.375],[63.541666666666664, 62.166666666666664, 20.041666666666668, 12.25],[70.3125, 66.66666666666667, 22.104166666666668, 13.5],[77.66666666666667, 69.70833333333333, 23.5, 13.936170212765957],[84.41666666666667, 73.35416666666667, 24.833333333333332, 15.13888888888889],[91.58333333333333, 75.77083333333333, 27.104166666666668, 15.972222222222216],[98, 78, 29, 16.3],[105.85416666666667, 80.8125, 30.0, 17.61904761904762],[112.6875, 84.3125, 30.8125, 17.8125],[118.97916666666667, 86.125, 32.270833333333336, 18.583333333333332],[125.9, 88.125, 34.27, 19],[131.97, 89.125, 36.27, 18.58],[138.979, 90.125, 37.87, 19.4]]\n",
    "data = list(map(list, zip(*data)))\n",
    "x_arr = list(range(20, len(data[0]) * 10 + 20, 10))\n",
    "\n",
    "ras_mean = np.mean(data[0])\n",
    "sps_mean = np.mean(data[1])\n",
    "rpsp_mean = np.mean(data[2])\n",
    "\n",
    "# print((ras_mean - rpsp_mean) / ras_mean)\n",
    "# print((sps_mean - rpsp_mean) / sps_mean)\n",
    "print((data[0][-1] - data[2][-1]) / data[0][-1])\n",
    "print((data[1][-1] - data[2][-1]) / data[1][-1])\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(x_arr, data[0], label='RAS', marker='p')\n",
    "plt.plot(x_arr, data[1], label='SPS', marker='o')\n",
    "plt.plot(x_arr, data[2], label='RPSP-APSP', marker='s')\n",
    "plt.plot(x_arr, data[3], label='RPSP-ILP', marker='^')\n",
    "plt.xlabel(['Number of Nodes','Number of QKD Request','Network Connectivity','Number of PS nodes at the beginning'][0])\n",
    "plt.ylabel('Number of PSes to be added')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(f\"var_node_num.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "xs",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
